Question

Find the scale factor that was used in the dilation shown.


S (6,4)

'S (9,6)


3/2

2

3

2/3

Answer 1

To find the scale factor used in the dilation from point S (6, 4) to S' (9, 6), you can use the formula for the scale factor (k):

\[
k = \frac{\text{new coordinate}}{\text{original coordinate}}
\]

We can find the scale factor by examining both the x-coordinates and the y-coordinates.

For the x-coordinates:
\[
k = \frac{9}{6} = \frac{3}{2}
\]

For the y-coordinates:
\[
k = \frac{6}{4} = \frac{3}{2}
\]

Since both calculations for the x and y coordinates give the same scale factor, the scale factor used in the dilation is:

\[
\boxed{\frac{3}{2}}
\]